Ac compressor makes a repetitive starting sound

Verify proper line voltage to the unit and compressor prior to any further testing, and correct if found below normal.
I would check the amp draw thru the compressor circuit. the compressor may very well be "locked rotor" and be pulling a high amp draw. that magic number for locked rotor amps should be listed on the compressor nomenclature plate as "lra".
the compressor may not be pulling any amps if the windings are burnt though, as their will not be any flow of power through the device.
best of luck,
ttfn